A frictionless contact problem for viscoelastic materials.
A frictionless contact problem with adhesion and damage in elasto-viscoplasticity
Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
We consider the problem of frictional contact between an elastic body and an obstacle. The elastic constitutive law is assumed to be nonlinear. The contact is modeled with normal compliance and the associated version of Coulomb's law of dry friction. We present two alternative yet equivalent weak formulations of the problem, and establish existence and uniqueness results for both formulations using arguments of elliptic variational inequalities and fixed point theory. Moreover, we show the continuous...
Analysis of a viscoelastic antiplane contact problem with slip-dependent friction
We study a mathematical problem modelling the antiplane shear deformation of a viscoelastic body in frictional contact with a rigid foundation. The contact is bilateral and is modelled with a slip-dependent friction law. We present the classical formulation for the antiplane problem and write the corresponding variational formulation. Then we establish the existence of a unique weak solution to the model, by using the Banach fixed-point theorem and classical results for elliptic variational inequalities....
Asymptotic behaviour for Schrödinger equations with a quadratic nonlinearity in one-space dimension.